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## libmesh-users

 [Libmesh-users] Has anybody solved the stady imcompressible navier stokes equation with libmesh? From: Shengli Xu - 2007-06-13 04:21:46 Attachments: Message as HTML ```Hello, libmesh users Has anybody solved the stady imcompressible navier stokes equation with libmesh? Use Tayer-Hood element or others? I know one method : Solve the correspond stokes equation firstly and let the solution as the initial guess vector, then solve the navier-stokes equation with Newton iteration. Please give me some advice about how to build this? Thanks for any suggestions! -- Best regards, Yours sincerely ShengliXu Department of Engineering Mechanics State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian, 116023, P. R. China Email:shengli@... shengli.xu.xu@... ========================== ```
 Re: [Libmesh-users] Has anybody solved the stady imcompressible navier stokes equation with libmesh? From: Roy Stogner - 2007-06-13 04:49:27 ```On Wed, 13 Jun 2007, Shengli Xu wrote: > Has anybody solved the stady imcompressible navier stokes equation with > libmesh? The transient incompressible Navier-Stokes equations are solved in example 13 and example 18. The method demonstrated only works for low Reynolds numbers with the Newton iteration in ex13, and for slightly higher Reynolds numbers with the quasi-Newton solver called by ex18. For high Reynolds numbers you'll probably need to add stabilization as well as a continuation or pseudo-transient solver. --- Roy ```
 Re: [Libmesh-users] Has anybody solved the stady imcompressible navier stokes equation with libmesh? From: Roy Stogner - 2007-06-13 14:04:08 ```On Wed, 13 Jun 2007, Shengli Xu wrote: > Roy, The method only for low Reynolds numbers in ex13, what is the scope of > Reynolds numbers? > and the scope of Reynolds numbers in Ex18? Up to around 10^3. I couldn't say exactly; I've never tried to push those codes to their limits. On second thought, if you're interested in steady flow you can't be interested in very high Reynolds numbers at all, since high Re flow can quickly become oscillatory or turbulent depending on Re and your domain. For a steady flow with a well-defined solution, the formulations in ex13 (modified to remove the mass terms to give you an "infinite timesteep") or ex18 (calling a SteadySolver instead of EulerSolver) should be fine. --- Roy ```